MATH101-24S2 (C) Semester Two 2024

# Methods of Mathematics

15 points

Details:
 Start Date: Monday, 15 July 2024 End Date: Sunday, 10 November 2024
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 28 July 2024
• Without academic penalty (including no fee refund): Sunday, 29 September 2024

## Description

Introduction to calculus, trigonometry and algebra. Emphasis on setting up mathematical models of problems, solving them and interpreting the solutions. Applications to the physical, life and earth sciences as well as to commerce and the humanities.

MATH101 covers the basic ideas of functions and their graphs, trigonometry, limits, and calculus. We introduce the concept of a mathematical model and discuss setting up mathematical models to solve problems. Examples are drawn from the physical, life and earth sciences as well as commerce and the humanities. Skills are practised in lectures, weekly tutorial sessions, and using online learning software.

Emphasis is placed on understanding through examples, and you will use the methods taught to study a variety of practical problems. In the process your algebra and calculus skills will improve, and you will gain insight into the usefulness of these techniques. The course aims to build your confidence and foster your enjoyment of mathematics.

MATH101 is for students who need some knowledge of mathematics to support other studies such as the earth and life sciences, and for students who wish to prepare for EMTH118 or MATH102. The recommended background for this course is NCEA Level 2 Mathematics or equivalent.

## Learning Outcomes

• A student who successfully completes this course will:

• understand the rules of exponents
• be able to use basic algebra to simplify expressions and rearrange equations
• be able to solve both linear and non-linear equations
• understand the concept of a function, and recognise and use function notation and operations
• be able to identify, graph and interpret polynomial, exponential, logarithmic and trigonometric relationships in both mathematical and real world contexts using appropriate applications
• be able to find the derivative and integral of polynomial, exponential, logarithmic, and trigonometric functions, including the use of product, quotient and chain rules
• understand the relationship between the processes of integration and differentiation
• be able to identify when a derivative is an appropriate mathematical model, and use it to solve optimisation problems
• be able to identify when an integral is an appropriate mathematical model, and to use it to solve appropriate real world problems
• have the ability to express mathematics in written form to communicate mathematical ideas and solutions to problems

## Restrictions

Students who have been credited with any of EMTH118, EMTH119, MATH102 or MATH103, cannot subsequently be credited with MATH101.

## Timetable 2024

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 16:00 - 17:00 C2 Lecture Theatre 15 Jul - 25 Aug 9 Sep - 20 Oct Lecture B 01 Tuesday 09:00 - 10:00 A3 Lecture Theatre 15 Jul - 25 Aug 9 Sep - 20 Oct Lecture C 01 Wednesday 09:00 - 10:00 A2 Lecture Theatre 15 Jul - 25 Aug 9 Sep - 20 Oct Lecture D 01 Thursday 14:00 - 15:00 A2 Lecture Theatre 15 Jul - 25 Aug 9 Sep - 20 Oct Computer Lab A 01 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 02 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 03 Thursday 16:00 - 18:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 04 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 05 Wednesday 14:00 - 16:00 Jack Erskine 035 Lab 2 15 Jul - 25 Aug 9 Sep - 20 Oct 06 Thursday 09:00 - 11:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 07 Wednesday 12:00 - 14:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 08 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct 09 Friday 08:00 - 10:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug 9 Sep - 20 Oct Drop in Class A 01 Thursday 15:00 - 16:00 C2 Lecture Theatre 15 Jul - 25 Aug 9 Sep - 20 Oct Workshop A 01 Wednesday 11:00 - 12:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 02 Thursday 11:00 - 12:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 03 Tuesday 14:00 - 15:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 04 Tuesday 10:00 - 11:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 05 Friday 09:00 - 10:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 06 Wednesday 10:00 - 11:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 07 Tuesday 15:00 - 16:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 08 Monday 11:00 - 12:00 Jane Soons 608 15 Jul - 25 Aug 9 Sep - 20 Oct 09 Wednesday 16:00 - 17:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 10 Tuesday 16:00 - 17:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 11 Tuesday 11:00 - 12:00 Jane Soons 603 15 Jul - 25 Aug 9 Sep - 20 Oct 12 Monday 12:00 - 13:00 Jane Soons 608 15 Jul - 25 Aug 9 Sep - 20 Oct Workshop B 01 Monday 09:00 - 10:00 Jack Erskine 445 15 Jul - 25 Aug 9 Sep - 20 Oct 02 Wednesday 12:00 - 13:00 Jack Erskine 101 15 Jul - 25 Aug 9 Sep - 20 Oct

## Examinations, Quizzes and Formal Tests

Activity Day Time Location Weeks Test A 01 Tuesday 19:00 - 20:30 A1 Lecture Theatre 12 Aug - 18 Aug 02 Tuesday 19:00 - 20:30 A2 Lecture Theatre 12 Aug - 18 Aug

## Textbooks / Resources

Barton & Cox; Essential Maths and Stats for Higher Education ; Pearson, 2013.

Croft & Davison; Foundation Maths ; Any edition; Prentice-Hall.

Haeussler, Paul, and Wood; Introductory Mathematical Analysis ; Pearson, 2013.

NCEA Level 2 and 3 textbooks are also a useful reference.

## Indicative Fees

Domestic fee \$847.00

International fee \$4,988.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

## All MATH101 Occurrences

• MATH101-24S1 (C) Semester One 2024
• MATH101-24S2 (C) Semester Two 2024
• MATH101-24W (C) Whole Year 2024 - Not Offered due to staff availability